ENGR-BS - Engineering (BS)
Download as PDF
Program Overview
Students pursuing a Bachelor of Science degree in Engineering can specialize in one of five major areas: Biomedical Computation, Engineering Physics, Atmosphere & Energy, Sustainable Architecture & Engineering or Biomechanics Engineering.
Mission of the Undergraduate Subplan in Atmosphere/Energy
The Atmosphere/Energy subplan combines atmospheric and energy sciences with engineering to prepare students to understand and mitigate atmospheric problems through optimal use of natural energy resources, energy efficiency, and energy technologies.
The Atmosphere/Energy subplan bridges a gap within the disciplines of civil and environmental engineering. Atmosphere and energy are strongly linked: fossil-fuel energy use contributes to air pollution, global warming, and weather modification; and changes in the atmosphere are fed back to affect renewable energy resources, including wind, solar, hydroelectric, and wave resources. The study of atmosphere and energy in this subplan prepares students to find the best ways to mitigate atmospheric problems, such as global warming and air pollution, by optimizing the use of natural energy resources, increasing the efficiency with which energy is used‚ and understanding the effects of energy technologies on the atmosphere.
Mission of the Undergraduate Subplan in Biomedical Computation
Quantitative and computational methods are central to advancing biology and medicine in the 21st century. These methods span analyzing biomedical data, constructing computational models for biological systems, and designing computer systems that help biologists and physicians create and administer treatments to patients. The Biomedical Computation subplan prepares students to work at the cutting edge of this interface between computer science, biology, and medicine. Students begin their journey by acquiring foundational knowledge of biological and computational disciplines. They learn techniques in informatics and simulation and their numerous applications in understanding and analyzing biology at all levels, from individual molecules in cells to entire organs, organisms, and populations. Students then focus on a depth area of their choosing and participate in a substantial research project with a Stanford faculty member. Upon graduation, students are prepared to enter a range of disciplines in either academia or industry.
Mission of the Undergraduate Subplan in Biomechanical Engineering
The undergraduate subplan in Biomechanical Engineering aims to help students address health science challenges by applying engineering mechanics and design to the fields of biology and medicine. The subplan is interdisciplinary, integrating engineering coursework with biology and clinical medicine. Research and teaching in this discipline focus primarily on neuromuscular, musculoskeletal, cardiovascular, and cell and tissue biomechanics. This subplan prepares students for graduate studies in bioengineering, biomechanics, medicine, or related areas.
Mission of the Undergraduate Subplan in Engineering Physics
The undergraduate subplan in Engineering Physics aims to provide students with a strong foundation in physics and mathematics, together with engineering and problem-solving skills. All students in this subplan take high-level math and physics courses as well as engineering courses. This background prepares them to tackle complex problems in multidisciplinary areas that are at the forefront of 21st-century technology, such as aerospace physics, biophysics, computational science & AI, quantum science & engineering, materials science, nanotechnology, electromechanical systems (robotics), renewable energy, and any other engineering field that requires a solid background in physics. Because the subplan emphasizes science, mathematics, and engineering, students are well prepared to pursue graduate studies in engineering, physics, or applied physics.
Mission of the Undergraduate Subplan in Sustainable Architecture and Engineering
Rapid urbanization is one of the defining sustainability challenges of our time. Meeting the demand for new architecture and infrastructure at an unprecedented pace and scale requires new approaches to sustainable design and construction.
The undergraduate Sustainable Architecture and Engineering major provides students with a strong foundation in sustainable architecture and engineering. The major emphasizes the integration of both disciplines, which is essential to advancing more sustainable, resilient, and resource-efficient built environments.
This major is not an ABET-accredited engineering degree. For an ABET-accredited degree, please explore the Civil Engineering major.
Minimum Units in the Program
Minimum University Units
The "School Requirements" found below detail the lists of School of Engineering (SoE) approved courses that satisfy their requirements.
Required or applicable courses may vary depending on major and/or subplan. Please see the major and/or subplan Bulletin program page for detailed information about your program's approved SoE requirements.
This is the list of SoE-approved Engineering Fundamentals courses that can be found at https://ughb.stanford.edu/courses/engineering-fundamentals.
Required or applicable courses may vary depending on major and/or subplan. Please see your major and/or subplan for detailed information about your program's Engineering Fundamentals requirements.
- 1042501
- 1042551
- 1042561
- 1042571
- 2195081
- 2152291
- 2169522
- 1042731
OR 2109951
OR 2063461 - 2234642
- 2194892
- 2221541
- 2155751
- 1042771
OR 2253771 - 1056441
OR 2216341
OR 1056451 - 2229961
- 2068962
OR 2068961 - 1034412
OR 1034411
Only one CS 106 course is allowed to count toward Fundamentals requirement.
This is the list of SoE-approved Mathematics & Statistics courses that can be found at https://ughb.stanford.edu/courses/math-and-statistics.
Required or applicable courses may vary depending on major and/or subplan. Please see your major and/or subplan for detailed information about your program's Mathematics requirements.
- 1172271
AND 1172291
AND 1172301 - 1034531
OR 1034532 - 2023541
- 1043151
- 1043162
- 1056641
- 2140171
- 2085321
- 2155763
- 1172571
- 1172591
- 1172611
- 1172581
OR 2183491
OR 1172621
OR 2183511 - 1172891
- 1172901
- 1172931
- 1172941
- 1172961
- 1173031
- 1173071
- 1173091
- 2089871
- 1042771
- 2193641
- 1045211
Or more advanced Mathematics courses via approval of petition to deviate
If MATH 51 and CME 100 are both taken, only 8 units of credit will be allowed toward the SoE major program due to overlapping material.
Many majors need MATLAB. CME 192 is a 4-week, 1-unit MATLAB course
- 2016572
- 1237821
OR 1237822 - 1253961
- 2085281
- 1038311
- 1173351
- 1045201
- 2160851
- 1035351
Or more advanced Statistics courses numbered over 100 via approval of petition to deviate
Some major programs allow only specific courses or allow/require courses in addition to those listed above; check your major program sheet footnotes to see what specific courses can be applied toward each major.
This is the list of SoE-approved Science courses that can be found at https://ughb.stanford.edu/courses/science.
Required or applicable courses may vary depending on major and/or subplan. Please see your major and/or subplan for detailed information about your program's Science requirements.
- 2193621
- 2193661
- 2193651
- 2193671
- 2193681
- 2193751
- 1118501
- 2181841
- 1119251
- 1034381
- 1034401
- 1034411
- 2042511
AND 2042531 - 1122461
- 1122501
- 1122531
- 1122731
- 2225792
- 1290821
- 2095052
- 1291392
- 1115811
- 1115841
- 1115901
- 1226021
AND 1226071
AND 1226101
AND 1226061
AND 1226091
AND 1226121 - 1226171
AND 2114241 - 2208011
AND 2114241 - 1226191
AND 1226371 - 1226241
AND 1226251 - 1226431
AND 2114251 - 1226511
- 1226461
This is the list of SoE-approved Technology in Society (TiS) courses that can be found at https://ughb.stanford.edu/courses/science.
Required or applicable courses may vary depending on major and/or subplan. Please see your major and/or subplan for detailed information about your program's TiS requirements.
- 1032041
- 2046082
- 2120991
- 2161132
- 1034551
- 2247752
- 2145761
- 2181541
- 2041791
- 2260352
- 2268121
- 2250151
- 2216301
- 2213951
- 2213961
- 2263691
- 2241661
- 2205711
- 2249831
- 2243447
- 2185951
- 1043131
- 2206851
- 2117255
AND 2038935 - 2262061
- 2044372
- 2238891
- 2055941
- 2262281
- 2072331
- 1230891
- 2234232
- 2151001
- 2137911
- 2264231
- 2199191
ENERGY 177A & B must both be taken, and taken for 3 units each, in order to satisfy the TiS requirement.
Some courses may also fulfill the following WAYS areas: A-II = Aesthetic/Interpretive Inquiry; CE=Creative Expression; ED=Engaging Diversity; ER=Ethical Reasoning; SI= Social Inquiry
Subplan Overview
The A/E degree is NOT an ABET-accredited degree, as ABET accreditation is advantageous only for obtaining specific jobs that do not overlap with those that students obtaining the A/E degree would generally consider. The degree is accredited as part of Stanford’s accreditation through the Western Association of Schools and Colleges (WASC). The study of atmosphere and energy in this subplan prepares students to find the best ways to mitigate atmospheric problems, such as global warming and air pollution, by optimizing the use of natural energy resources (e.g., wind, solar, hydro, geothermal, and marine resources); learning about the electrification of transportation, buildings, and industry; increasing the efficiency with which energy is used; and understanding the effects of energy technologies on the atmosphere.
Objectives and Outcomes
The objective of the A/E major is for students to:
understand the complexities of large-scale air pollution and climate problems as well as clean, renewable, and efficient energy solutions to address the problems.
gain skills and understanding of tools to create and assess new solutions that avoid exacerbating problems and avoid addressing one problem while exacerbating another.
The Curriculum
A/E students take classes in atmospheric sciences, energy sciences and engineering as well as classes that integrate the two fields. The curriculum is flexible in that students interested more in energy or more in atmosphere can take most of their engineering depth classes in their area of choice. Similarly, students desiring to focus more on technology or more on science can select the appropriate depth classes to suit their interests.
Careers
The Atmosphere/Energy undergraduate curriculum prepares undergraduates for careers in industry, research, consulting, government, non-governmental organizations, and academia. Through these careers students influence public policy, guide engineering design decisions, and support the implementation of equitable energy solutions.
Graduate Study
Students with a degree in Atmosphere/Energy are well prepared for graduate studies in our A/E and other CEE coterm (MS) programs as well as in sustainability science and practice, and programs in public policy, business, and law.
Exploring the Atmosphere/ Energy Major
Try one of these recommended introductory courses:
APPPHYS 79N - Energy Options for the 21st Century
CEE 34N - Wind Energy Explained
CEE 63 - Weather and Storms
CEE 64 - Air Pollution & Global Warming: History, Science & Solutions
CEE 70 - Environmental Science and Technology (same as ENGR 90)
ENGR 50E - Introduction to Materials Science, Energy Emphasis
ENERGY 30N: Busting Energy Myths
In addition, the Math, Science, Technology in Society, and Engineering Fundamentals courses required by the A/E major will also count toward most of the other School of Engineering majors (see course lists below; other major programs and their specific requirements are listed elsewhere on this site).
Instructions For Declaring Major in Engineering: Atmosphere/Energy (ENGR-BS)
Enter your major declaration for Atmosphere/Energy in Axess. Select ENGR-BS as your major and A/E as your subplan.
For instructions and guidelines, please go here:
https://cee.stanford.edu/academics-admissions/undergraduate-degrees/how-declare-cee-your-major
If you have any questions, email the Assistant Director of Undergraduate Degree Progress and Curriculum Management, Rachel Stringari at rstring@stanford.edu
A total of 96 units are required, comprised of courses from the requirements below.
Complete 23 units minimum between Groups A and B, completing at least one course from each Group.
- 1043151
- 1172611
- 2016572
- 2244902
- 1253961
Complete additional courses from the list of SoE pre-approved Math & Stats course list found at https://ughb.stanford.edu/courses/math-and-statistics to reach the 23-unit minimum of Mathematics coursework.
Students may also use AP credit to fulfill this requirement. Please consult with the School of Engineering and see the Stanford External Test Credit Equivalency Charts for additional information.
Complete 20 units minimum of science coursework, including all of the following Science courses.
- 2042531
OR 1122461 - 1034411
- 1226171
OR 2208011
OR 1226431 - 1226191
OR 1226461
Students may also use AP credit to fulfill this requirement. Please consult with the School of Engineering and see the Stanford External Test Credit Equivalency Charts for additional information.
CEE 70 can count as science or as ENGR Fundamental, but not both.
Complete additional courses from the SoE pre-approved Science course list found at https://ughb.stanford.edu/courses/science in order to reach the 20-unit minimum of Science coursework.
Complete one course from the SoE-approved TiS list at https://ughb.stanford.edu/courses/tech-in-society. The course the student uses to satisfy the TiS Requirement must be on this list the academic year in which the student took the course.
BIO 131 can satisfy both the Writing in the Major (WIM) and Technology in Society requirement.
- 2120991
- 2172452
- 1034491
- 2172581
BIO 131 can satisfy both the Writing in the Major (WIM) and Technology in Society requirement.
CEE 102W, CEE 100, or EARTHSYS 191 can count for both WIM and Skills Course requirement.
- 1056441
OR 1056451 - 1042501
- 2195081
- 2109951
- 2194892
ENGR 50E may be used as an Engineering Fundamentals course, or toward Depth requirements, but cannot be used in both areas.
Of the 42 units required below, 30 units minimum must be School of Engineering coursework. One of CEE 176A, 176B, 162I, or 199 must be taken to satisfy the Capstone requirement.
Complete a total of 2 courses, one from each set below (one from CEE 63, CEE 64, or CEE 172, and one from CEE 107A or CEE 107S) for a total of 6-8 units.
- 1034381
OR 1034401
OR 1035001 - 1290852
OR 2152952
No more than 5 units from the list below may count toward the 42 units of Depth. Complete 0-5 units from the following:
- 2172452
- 1034491
- 1035261
- 2172581
- 2227001
Courses outside the School of Engineering do not count toward the 30-unit engineering minimum in Fundamentals and Depth categories but can count toward the 42-unit Depth total.
Students may count no units from the list to the 42 units of Depth. However, students would still separately need a WIM class.
Complete at least 29-36 units from Groups A and B, with at least 4 courses of 3 or more units from each group.
Complete at least 4 courses of 3 units or more.
- 1030931
- 2230481
- 1034381
- 1034401
- 1034511
OR 2233221
OR 1047891 - 2104593
- 1035001
- 2225792
- 2216163
- 2194513
- 1295152
- 1133561
- 2215852
- 2248351
- 2209421
- 2249391
Courses outside the School of Engineering do not count toward the 30-unit engineering minimum in Fundamentals and Depth categories but can count toward the 42-unit Depth total.
Complete at least 4 courses of 3 units or more.
- 2198781
- 2264383
- 2231211
- 2229072
- 1034881
- 2205611
- 1035061
- 1035071
- 2250481
- 2260122
- 2172932
- 1296682
- 2032682
- 2241411
- 2031071
- 2158021
- 2069201
- 2090471
- 2105232
- 2109951
- 2250311
- 1046701
Courses outside the School of Engineering do not count toward the 30-unit engineering minimum in Fundamentals and Depth categories but can count toward the 42-unit Depth total.
To fulfill the Capstone, 3 units of one of the following courses must be taken.
CEE 161I is an Atmosphere-focused course.
CEE 176A and 176B are Energy-focused courses.
CEE 199 is a Skills-focused course.
- 2104488
- 1035061
- 1035071
- 1035261
The A/E honors program allows eligible students to engage in guided original research or project design over an academic year. Interested students must adhere to the following requirements:
Prospective honors students write up and submit a 1-2 page letter applying to the honors program in A/E describing the problem to be investigated. The student, the current primary advisor, and the proposed honors advisor, if different, must sign the letter. The student must submit the letter to the Department of Civil and Environmental Engineering (CEE) student services office. The application must include an unofficial Stanford transcript. Applications must be received in the fourth quarter before graduation. It is strongly suggested that prospective honors students meet with the proposed advisor well before applying.
Students must maintain a GPA of at least 3.5.
Students must complete an honors thesis or project over three quarters. The typical length of the written report is 15-20 pages. The deadline for submission of the report is to be decided by the honors advisor but should be no later than the end of the third week in May.
The student’s honors advisor and another reader must read and evaluate the report. The student’s responsible for finding and obtaining both the advisor and the reader. At least one of the two must be a member of the Academic Council in the School of Engineering.
Students must present the completed work in an appropriate forum, e.g., in the same session as honors theses are presented in the advisor’s department. All honors programs require some public presentation of the thesis or project.
Two copies of the signed thesis must be provided to the CEE student services office no later than two weeks before the student’s graduation quarter ends. A pdf of the thesis, including the signature page signed by both readers, should be submitted to the student services officer by May 15. Students will be emailed instructions on archiving a permanent electronic copy in Terman Engineering Library.
Students must take Directed Writing Projects or its equivalent.
Units for the writing class are beyond those required for the A/E major.
- 1042911
Up to 10 units of CEE 199H - Undergraduate Honors Thesis may be taken to support the research and writing (not to duplicate ENGR 202S).
Units for this course are beyond those required for the A/E major.
- 2021251
Subject to the requirements outlined above, students have flexibility in selecting their depth electives and other courses to best suit their interests. If you would like to see two suggested programs outlined, one with an emphasis on energy studies and the other on atmospheric studies, go to the 4-Year Plans page and open the A/E plans. Either approach provides the necessary preparation for the master’s degree program in Atmosphere/Energy.
MATH 19/20/21 (or equivalent with placement via SU exam) are required and prerequisite to the CME 100/102 and MATH 50/53 series.
- 1172271
- 1172291
- 1172301
*Up to 10 units of AP credit (with placement into MATH 51/CME 100) may be used as long as at least 20 math units are taken. SoE Dean’s Office (in 135 Huang) must approve AP credit.
- 1172571
OR 2023541 - 2085321
- 2085281
OR 2010471
OR 1045201
OR 1045421
OR 1038311
OR 1173351
OR 2016572
17 units minimum
- 1226171
OR 1226191
OR 1226241
OR 2208011
OR 1226431
OR 1226461 - 2042511
OR 2042531
OR 1122461
OR 1122501 - 2193621
OR 2193661
OR 2193651
OR 2193671
OR 2193681
OR 2193751
OR 1115811
OR 1115841
OR 1115901
Plus one additional biology, chemistry, or physics course from those listed in the Science section.
Complete one course from the SoE-approved TiS list at https://ughb.stanford.edu/courses/tech-in-society. The course the student uses to satisfy the TiS Requirement must be on this list the academic year in which the student took the course.
Classes may not be double-counted within the program. Therefore, CS 106B may not be counted toward both the Engineering Fundamentals and BMC Core requirements. If student wishes to count CS 106B toward the Engineering Fundamentals requirement, another course must be petitioned and pre-approved to be substituted in its place in the BMC Core.
- 1056441
*Students may use AP/IB credit in place of CS 106A. Please consult the SoE UGHB for more information.
- 1042501
- 1042551
- 1042561
- 1042571
- 2195081
- 2152291
- 2169522
- 1042731
OR 2109951
OR 2063461 - 2234642
- 2194892
- 2193641
- 2155752
- 2221541
- 2068962
- 1034412
Complete a minimum of 42 units, with at least 30 units of Engineering coursework.
- 1056451
- 1056491
- 1056871
- 1272172
- 1410302
- 2064032
- 2205711
- 2159421
- 2226321
Every BMC student must complete 6 units of directed research under a Stanford faculty member. This requirement is fairly unique to BMC among majors at Stanford. It allows our students to work on cutting-edge projects as a part of their undergraduate curriculum. This research typically occurs during the junior or senior year. The main requirement is that students must be doing actual, hands-on biomedical computation as a part of the research project (>50% computational).
Students must have their research approved by the BMC Program Directors before undertaking their research project, and previous research credit cannot be retroactively applied. Please submit your project proposal at least 2 weeks prior to the start of the quarter during which you are starting your research. Visit our BMC Research Requirement page for more information, including our Project Request Form and applicable deadlines.
- 2120991
- 1056921
- 1410293
- 2069741
BMC students may satisfy their WIM requirement independently of research (CS 272, BIOE 131) or concurrently with research (CS 191W, ENGR 199W). Some of the above options may require additional steps (e.g., class application, project proposal), so please review our BioE Intranet for all relevant information and deadlines.
Select one of the following concentrations:
Complete 3 courses total: one BIO course, one CHEM course, and one additional from the list.
- 2234951
OR 2012621
OR 2132592
OR 1119291
OR 2193611
OR 1120201 - 2183881
OR 2183891
OR 1122861
Complete 3 courses total: one of CS 145 or 147, one of CS 121, 221, 228, or 229, plus one additional course from the list.
- 1056751
OR 1056761 - 2268121
OR 1057301
OR 1057481
OR 1057501
- 2115241
- 2114201
OR 1118852 - 2111501
OR 2022621
- 1043151
AND 1172611 - 2115241
- 2114201
Complete at least 5 unique courses total - at least two courses from each of the concentrations electives lists below, plus one additional course from either list.
- 2079241
- 1118852
- 2193611
- 1120641
- 1275793
- 1120201
- 1272881
- 2111501
- 2226322
- 2042542
- 2179552
- 2183881
- 2183891
- 1122861
- 1032821
- 1036782
- 1410293
- 1410302
- 2159421
- 1273491
- 2012731
- 2023031
- 1284201
- 2132591
- 2079241
- 2115241
- 2114201
- 2115251
- 2226322
- 2042542
- 2179552
- 2122201
- 2117822
- 1122861
- 2066522
- 1056751
- 1056761
- 1056781
- 1057301
- 1057361
- 1057481
- 1057501
- 1272172
- 1410293
- 2186011
- 1410302
- 2064032
- 2159421
- 2182021
- 1038991
- 2012731
- 2023031
- 1045271
- 1045581
- 1254201
- 1254241
- 1254901
- 1254911
The Biomedical Computation program offers an honors option for qualified students, resulting in a BS with Honors degree in Engineering (ENGR-BSH, Biomedical Computation). An honors project is meant to be a substantial research project during the later part of a student’s undergraduate career, culminating in a final written and oral presentation describing the student’s project and its significance. There is no limit to the number of majors who can graduate with honors; any BMC major who is interested and meets the qualifications is considered.
Students apply by submitting the Honors Program Application Webform found on the BMC website and should be prepared to upload a 1-2 page proposal describing the problem the student has chosen to investigate, its significance, and the student’s research plan. This plan must be endorsed by the student’s research and academic advisors, one of whom must be a member of the Academic Council. In making its decision, the department evaluates the overall scope and significance of the student’s proposed work.
Students must maintain a 3.5 GPA.
Students must complete three quarters of the research. All three quarters must be on the same project with the same advisor. A summer quarter counts as one quarter of research.
Ideally, funding should not be obtained through summer research college sources but rather through the UAR’s Student Grants Program. In no case can the same work be double-paid by two sources.
Students must complete a substantial write-up of the research in a publishable research paper format. This research paper is expected to be approximately 20-30 pages and must be approved by the student’s research advisor and a second reader.
Students submit an electronic pdf of their thesis, including the signature page signed by both readers, to Bioengineering student services. Students should review deadlines on the BMC website. Students are emailed instructions on archiving a permanent electronic copy in Terman Engineering Library.
As the culmination of the honors project, each student presents their results in the Bioengineering Honors Poster Fair in spring quarter of their senior year.
See the Handbook for Undergraduate Engineering Programs (UGHB) for additional information and sample programs.
The Biomechanical Engineering major integrates biology and clinical medicine with engineering mechanics and design.
Research and teaching in the Biomechanical Engineering Group are primarily focused on neuromuscular, musculoskeletal and cardiovascular biomechanics, and cell and tissue mechanics. Research in other areas such as hearing, vision, ocean and plant biomechanics, biomaterials, biosensors, and imaging informatics are also conducted in collaboration with associated faculty in medicine, biology, and engineering.
The Biomechanical Engineering major provides a fundamental understanding of mechanics in the fields of biology and medicine. However, it is not normally recommended as a terminal degree. This major is well-suited for those interested in future graduate studies in bioengineering, medicine, or related areas. The course of study allows students to satisfy many pre-medical, pre-dental, or pre-paramedical fields.
General Major Requirements:
All courses taken for the major must be taken for a letter grade if that option is offered by the instructor.
All courses taken for the major must be included under one category.
Minimum required grade for each course taken for the major is a C, and the minimum weighted GPA is 2.5 for courses taken for the major.
Please see the Handbook for Undergraduate Engineering Programs (UGHB) for additional information and materials.
A minimum of 24 mathematics units are required. The CME offerings of mathematics courses are strongly preferred for the BME major. Students who take the MATH sequence are strongly encouraged to take course before encountering courses that expect MATLAB experience.
- 1172271
- 1172291
- 1172301
10 units of AP Calculus BC, with placement into course/course, is equivalent to course/course/course and acceptable in any engineering major. If 6-8 units of AP or IB credit are given, must be taken regardless of the Math Diagnostic Placement results. If 6-8 units of AP or IB credit are given, MATH21 must be taken regardless of the Math Diagnostic Placement results.
- 2023541
- 1043151
- 1172571
- 1172611
- 2016572
- 1253961
- 2254081
- 2010471
A minimum of 22 science units is required. Must include 2 quarters of Bio or HumBio Side A Core. AP Credit may be used if placed into Chemistry or Physics courses via the Diagnostic Placements.
- 1122461
- 2042511
AND 2042531
AP Credit may be used for Chemistry if placed into higher-level Chemistry courses via the Diagnostic Placements.
- 1226171
OR 2208011
OR 1226431
AP Credit may be used for Physics if placed into higher-level Physics courses via the Diagnostic Placements.
Additional courses from the list of SoE pre-approved Science course list to reach the 22 unit minimum.
- 1032041
- 2046082
- 2120991
- 2161132
- 1034551
- 2247752
- 2145761
- 2181541
- 2041791
- 2260352
- 2268121
- 2250151
- 2216301
- 2213951
OR 2213961 - 2263691
- 2241661
- 2205711
- 2249831
- 2243447
- 2185951
- 1043131
- 2206851
- 2117255
OR 2038935 - 2262061
- 2044372
- 2238891
- 2055941
- 2262281
- 2072331
- 1230891
- 2234232
- 2151001
- 2137911
- 2264231
ENERGY 177A and ENERGY 177B are a 2-course series that should be taken for a total of 3 units.
Students choosing the research capstone should take BIOE131 to satisfy both TiS and WIM requirements. Students choosing the Biomechanical Engineering capstone may use any TiS course listed above.
- 1042551
- 2063461
OR 2068962
The Engineering Depth requirements for the BME major include a core set of introductory mechanical engineering courses, a set of more advanced mechanical engineering courses selected from a prescribed list, and a set of BME depth courses (generally taken during the senior year).
BME course offerings vary somewhat from year to year. As most BME depth courses are intended for advanced undergraduates and first-year graduate students, some courses have implicit expectations for prerequisite knowledge. Students should be aware of expected prerequisites and plan their schedules accordingly. Note that more advanced (300-level) BME courses may be used with the permission of the instructor and the student’s advisor.
- 1042561
- 2196661
- 1047891
- 1048141
- 1042961
- 2196671
- 2206751
- 1048151
- 2184541
OR 1056641 - 1049871
- 2209421
- 2207981
- 1048541
- 2115031
- 2226321
- 2158621
- 2267711
- 2023031
- 2126261
- 2179553
- 2126121
- 2277421
- 2277431
Enforced prerequisites for ME172A are ME70, ME80, ME102, ME103 and either ME281 or ME283.
The research capstone is fulfilled by taking 8 units of ME191 over 3 quarters under the supervision of a Biomechanical Engineering faculty member. Completion of the research capstone requires submission of a thesis, which will be evaluated by BME faculty. Students choosing the research capstone should take BIOE131 to satisfy both TiS and WIM requirements. Note that research for the capstone cannot overlap with research for the honors thesis.
- 1048611
Take additional math, science, or engineering courses at or above the level of listed courses (e.g., excluding lower-level physics courses, statistics courses not based on calculus, IntroSems, seminar courses, etc.) only as needed to bring the unit total to 99 units. Math or Science courses must be on the SoE-approved list.
The School of Engineering offers a program leading to a Bachelor of Science in Engineering: Biomechanical Engineering with Honors. This program allows qualified BME majors to conduct independent study and research related to biomechanical engineering at an advanced level with a faculty mentor.
Honors Criteria:
GPA of 3.5 or higher in the major
Arrangement with an ME faculty member (or a faculty member from another department who the BME Undergraduate Program Director approves) who agrees to serve as the honors advisor, plus a second faculty member who reads and approves the thesis. The honors adviser must be a member of the Academic Council in the School of Engineering.
Apply to the ME student services office no later than the second week of the term two quarters before the anticipated conferral (e.g., Autumn for Spring conferral, Spring for Autumn conferral). An application consists of:
A one-page written statement describing the research topic, with signatures indicating approval of both the thesis advisor and thesis reader on a cover page
An unofficial Stanford transcript;
Applications are subject to review and final approval by the BME Undergraduate Program Director. Applicants and thesis advisors receive written notification when a decision has been made.
To graduate with honors:
Declare ENGR-BSH (honors) program in Axess
Maintain 3.5 GPA
Submit a completed thesis draft to the advisor by the third week of the quarter the student intends to confer. Further revisions and final endorsement by the advisor and reader are to be finished by week six when two bound copies are to be submitted to the Mechanical Engineering student services office. A pdf of the thesis, including the signature page signed by both readers, should also be submitted to the student services officer. Students are emailed instructions on archiving a permanent electronic copy in the Terman Engineering Library.
Present the thesis at the Mechanical Engineering Poster Session held in mid-April. If the poster session is not not offered or the student does not confer in the spring, an alternative presentation will be approved on a case-by-case basis with the advisor and BME Program Director’s approval.
Note: Students may not use work completed toward an honors degree to satisfy BME course requirements
In addition to completing the set of required courses described immediately below, each Engineering Physics major completes a course satisfying the Writing in the Major requirement, the Capstone requirement, and an additional three courses in one of seven defined specialties described below: Aerospace Physics, Biophysics, Computational Science, Electromechanical System Design, Materials Science, Quantum Science & Engineering, Renewable Energy.
See the Engineering Physics section of the Handbook for Undergraduate Engineering Programs (UGHB) major section for the Engineering Physics course plan and other information relevant to the major.
At least 35 of the units in Engineering Fundamentals, Required Depth Classes, Required Depth Electives, and other electives must be School of Engineering units. Up to 3 research units (e.g., ENGR 199 or a departmental research course such as ME 191) may be counted toward the 35-unit requirement. The following courses cannot be used to satisfy the 35-unit requirement: ENGR 1, Introductory Seminar and Sophomore College courses, Technology in Society (TiS) courses, and student-initiated courses. Unless otherwise noted, a course may only be counted toward one requirement; units may not be double-counted.
All courses taken for the major must be taken for a letter grade (if that option is offered) and must be completed for a grade of C- or better. (CR or S grades are acceptable for classes completed in the six quarters between spring 2020 and summer 2021).
The minimum combined GPA for all Engineering Fundamentals and Depth courses is 2.0.
- 1172271
- 1172291
- 1172301
- 1172571
- 1172591
- 1172611
- 2196241
OR 1048663
OR 2089871
OR 2101931
MATH 21 is an enforced prerequisite for MATH 51. Credit for MATH 21 can also be obtained via a score of 5 on the BC-level AP calculus exam, earning a suitable score on certain international exams, or transferring credit from a suitable course at another post-secondary institution. See this website for more information: Why must MATH 21 be taken before MATH 51?
Either the Math 50 or 60CM series is allowed and are enforced co-requisites for PHYSICS 61, 71, 81.
- 1226171
OR 2208011 - 1226191
- 1226431
AND 2114251 - 1226511
AND 2272491 - 1226461
AND 2272501
Students may be able to place out of Physics 41 and/or 43 based on advice from the Physics Placement Diagnostic.
Students may replace PHYSICS 79L with PHYSICS 89L.
Students may replace PHYSICS 81L with PHYSICS 71L.
Complete one course from the SoE-approved TiS list at https://ughb.stanford.edu/courses/tech-in-society. The course the student uses to satisfy the TiS Requirement must be on this list the academic year in which the student took the course.
Two courses minimum (course or CS106B recommended; PHYSICS104 may be used in place of ENGR 40M).
The Engineering Fundamental courses must be selected from the School of Engineering approved list. Fundamentals courses acceptable for the core program may also be used to satisfy the fundamentals requirement as long as 35 unduplicated units of Engineering are taken.
- 1042501
- 1042551
- 1042561
- 1042571
OR 1042572 - 2195081
- 2152291
- 2169522
- 1042731
- 2109951
- 2063461
- 2234642
- 2194892
- 2193641
OR 2253771 - 2155752
- 2221541
- 1056441
- 2216341
- 1056451
- 2229961
- 2068962
OR 2068961 - 1034412
OR 1034411
- 1038971
- 2002601
- 2085281
- 2016572
Also qualified are EE263, any Math or Statistics course numbered 100 or above, and any CME course numbered 200 or above, except CME206.
Take one course sequence.
- 1038251
AND 1038261 - 1226791
AND 1226801
EE 142 may not be offered every year.
- 1056641
- 1048671
- 2041911
- 2002611
- 2031031
- 2031041
- 2152291
- 2227141
- 1093841
- 1038701
- 1226821
- 2220721
- 1226941
- 2052841
MATSCI 310 and ME 346A may not be offered every year.
One course required
- 1031732
- 1056501
- 1038221
- 2031081
- 2206751
- 1051121
- 2227071
- 2016051
- 2164691
- 2197091
- 2198851
- 1057741
See the recommended Design course for each Specialty Area listed below.
Complete three courses from one of the following seven specialties or work with an advisor to create an Individually Designed Specialty to be reviewed by the Engineering Physics Co-Directors.
In Aerospace Physics, students develop a deep background in physics and mathematics and apply it to understanding the space environment and the dynamics, design, and control of space vehicles.
- 2136621
- 1049332
OR 1226771 - 2136851
- 2136861
- 2112681
- 1032311
- 1048541
Additional recommended courses: AA 100; AA 190 for WIM; AA 236A for Design.
Biophysics prepares students to employ methods in physics to the study of biological systems. Students have the opportunity to learn about the physical biology of systems on a broad range of scales, techniques developed in biophysics for imaging, measuring, and manipulating biological systems, and the application of quantitative analysis techniques to topics in biology and genomics.
- 2132591
- 2040301
- 2097861
- 2103261
- 2115241
- 2114201
- 2115251
- 1410304
- 2162211
- 2042542
- 2243402
- 1040491
Additional recommended courses: BIOE 131 for WIM/TiS; EE 261 for Advanced Math; BIOE 123 for Design or Electronics Lab (may not also be used as an elective if used for one of these); BIOE 80 for Engineering Fundamental.
Computational Science prepares students to apply modern computational techniques to problems in engineering and applied science, and to the analysis of data. Students have the opportunity to study computational theory and algorithms, as well as applications in modeling, data analysis, data science, AI and machine learning.
- 2085321
- 1056821
- 1056871
- 1057251
- 1057301
- 2242591
OR 2190451 - 1057481
- 1057501
- 2198851
- 2164531
- 1254201
May also use any CME course greater than CME 300 and less than 390.
Additional recommended courses: CS 182W for WIM/TiS; CS 109 for Advanced Math; CS 107E, 108, 140E, 230, or 248A for Design; CS 106A or B for Engineering Fundamental.
Electromechanical Systems Design provides the opportunity for students to explore the process of design, analysis, and realization of modern electromechanical systems, including “smart products” and robotic systems with embedded sensing and actuation.
- 2069441
- 1051121
- 1049332
OR 1226771 - 1057361
- 1048151
- 1048311
- 2185452
Additional recommended courses: ENGR 102W or PHYSICS 191 for WIM (or ENGR 199W for students pursuing an independent research project); ME 103 for Design; ENGR 40M or PHYSICS 104, and CS 106A or B for Engineering Fundamentals.
In Materials Science, students learn how to design and synthesize materials with particular structures at the nanometer and micrometer scale that provide special electrical, optical, magnetic, or mechanical properties. Students can learn to use these materials to make integrated circuits, light-emitting diodes, solar cells, fuel cells, microelectromechanical systems, and other advanced devices.
- 1226951
- 1226961
- 2073261
- 2063001
- 1046701
- 2063041
- 1047131
- 1046351
- 2073041
- 2052221
- 1046401
- 1046461
- 1046471
- 2065381
- 2129401
- 2219133
- 2052222
- 1046402
- 1046462
- 1046472
- 2065382
- 2129402
- 2219134
- 2235761
- 2235801
- 2235861
- 2235771
- 2235811
- 2010391
- 1046762
- 1046811
- 1046822
- 1226961
Additional recommended courses: MATSCI 161 or 164 for WIM; ENGR 50/50E/50M for Engineering Fundamental; CHEM 31A/B or 31M.
Quantum Science & Engineering provides opportunities for students to develop an understanding of quantum systems – including atoms, lasers, and quantum devices – and investigate potential applications, such as timing and navigation, quantum computing, quantum communication, quantum cryptography, and tests of fundamental physics.
- 1405231
- 1226831
- 2002641
- 1227181
- 1227191
- 2124061
- 2192971
- 2107621
- 2136071
- 1038721
- 2227071
- 2184352
Additional recommended courses: EE 134, ENGR 102W, or PHYSIS 191 for WIM; EE 134 or PHYSICS 106 for Design.
In Renewable Energy, students explore energy conversion and storage technologies that are relevant in renewable energy systems, such as solar cells, wind turbines, batteries, fuel cells, and hydrogen production and storage.
- 1035071
- 2104488
- 2158021
- 2225351
- 2052531
- 1039631
- 2073041
- 2109831
Additional recommended course: EE 153 or MATSCI 161 for WIM.
Choose set of three courses in one area of concentration with the approval of the advisor and program Co-Directors.
To satisfy the capstone requirement, students must complete the capstone requirement in Physics or in a department closely aligned with the specialty the student is pursuing. See lists of eligible courses below.
Students should choose one option from one of the lists below. Note that some options require one course, and while others require two courses to complete.
An Honors Thesis can satisfy the Capstone requirement with approval from the student's advisor and the program Co-Directors.
- 1031732
AND 1031742 - 2215491
AND 2215501
- 2126291
AND 2126311
- 2104488
- 1035061
- 1035071
- 1035261
- 2226321
- 2071961
- 1056911
OR 1056921 - 1057051
OR 2111641 - 2164971
- 2093121
- 1272172
- 1410302
- 2064032
- 2159421
- 2037841
- 1038221
- 2031081
- 2158021
- 1038291
- 2138511
- 2192671
- 2202021
- 2069741
Complete a research project and document it in a capstone paper for ENGR 199W. ENGR 199W requires approval from the student's advisor and the UG Directors.
- 1046401
- 1046471
- 2129401
- 2195621
- 2195701
Choose one of the following 3 Physics Course Capstone options.
Note that PHYSICS 100 and PHYSICS 108 may have limited enrollment, so students planning to use one to fulfill their Capstone requirement should have a backup plan in case they cannot enroll in one of these courses.
- 1226691
- 2016051
- 1226951
Complete a Senior thesis and at least 3 units in PHYSICS 205; see Honors section of program for Senior thesis requirements. To fulfill the Capstone requirement using this option, it is not necessary to meet the other requirements for Honors (e.g., GPA requirements). Thus, a student can complete the Capstone requirement with this option even if they are not graduating with Honors.
- 1227091
Students carry out a physics-related research project, which can be pursued at Stanford or another institution during the summer quarter or the academic year. During their junior or senior year, the student submits a proposal describing the topic of their Capstone paper based on their research project and identifying their research advisor. The Director must approve the proposal for Undergraduate Studies. After this approval, the student writes a Capstone paper. This paper can be written for either course (WIM) or course. If the student chooses to write the paper in Physics 191, it will be written for one of the assignments in the style of a journal article (e.g., Physics Review Letters). If the student chooses instead to write the paper in Physics 192, then the student enrolls in that course with the official research advisor as the instructor. If the project is carried out with an advisor at another institution, the student must identify an official advisor who is a faculty member in the Physics Department at Stanford to write their Capstone paper. If the project is carried out with a faculty member at Stanford who is not in the Physics department, then that advisor can serve as the instructor for Physics 192.
- 2229101
- 2244061
The School of Engineering offers a program leading to a Bachelor of Science in Engineering: Engineering Physics with Honors.
Honors Criteria
Minimum GPA of at least 3.5 in courses that count toward the major.
Independent research conducted at an advanced level with a faculty research advisor and documented in an honors thesis. The honors candidate must identify a faculty member who will serve as their honors research advisor and a second reader who will also be asked to read the thesis and give feedback before endorsing it. One of the two must be a member of the Academic Council and the School of Engineering.
Application: The application deadline is November 1 in autumn quarter of the senior year. The application documents should be submitted to the Student Services Officer. A subcommittee of the faculty advisors for Engineering Physics majors reviews applications. Applicants and thesis advisors receive written notification when the application is approved. An application consists of three items:
A one-page description of the research topic
The Honors Application form, which is available on the Engineering Physics page of the Undergraduate handbook. The Honors thesis advisor must sign the form.
Unofficial Stanford transcript
Requirements and Timeline for Honors in Engineering Physics:
Declare the honors program in Axess (ENGR-BSH, Subplan: Engineering Physics)
Download the application form
Apply to the honors program by November 1 in autumn quarter of the senior year
Maintain a GPA of at least 3.5 in courses that count toward the major
Optional: Under the direction of the thesis advisor, students may enroll for research units in ENGR 199W Writing of Original Research for Engineers or in departmental courses such as AA 190 Directed Research and Writing in Aero/Astro or ME 191H Honors Research
Submit a completed thesis draft to the research advisor and second reader by April 15
Present the thesis work in an oral presentation or poster session in an appropriate forum (e.g., an event that showcases undergraduate research and is organized by the Physics department, the department of the advisor, the school of the advisor, or the university)
Incorporate feedback, which the advisor and second reader should provide by April 30, and obtain final endorsement signatures from the thesis advisor and second reader by May 15
Submit a PDF of the thesis, including the signature page signed by both readers, to the student services officer by May 15; students are emailed instructions on archiving a permanent electronic copy in the Terman Engineering Library
Mission
Rapid urbanization is one of the defining sustainability challenges of our time. Meeting the demand for new architecture and infrastructure at an unprecedented pace and scale requires new approaches to sustainable design and construction.
The undergraduate Sustainable Architecture and Engineering major provides students with a strong foundation in sustainable architecture and engineering. The major emphasizes the integration of both disciplines, which is essential to advancing more sustainable, resilient, and resource-efficient built environments.
This major is not an ABET-accredited engineering degree. For an ABET-accredited degree, please explore the Civil Engineering major.
Curriculum and Degree Requirements
The curriculum combines hands-on architectural design studios with a broad range of architecture and engineering coursework. Through the studio sequence, students develop design methodologies that integrate spatial thinking with innovative engineering technologies. These project-based courses emphasize critical skills such as speculation, investigation, measurement, and problem-solving, preparing students to address the complex challenges of an urbanizing world with finite resources.
Core and elective courses are organized across five primary areas: building performance and energy, design history and theory, studio and design/build, structures and construction, and sustainable cities. Required core courses provide a comprehensive introduction to architectural and engineering design with an emphasis on sustainability in the built environment, while electives allow students to explore and pursue deeper study in their areas of interest.
The major is offered as a subplan within the Engineering (BS) program; complete degree requirements are listed on the Engineering (BS) program page.
Careers and Graduate Study
The Sustainable Architecture+Engineering major lays a foundation for a broad range of careers including architecture, sustainable design, structural engineering, environmental engineering, construction management, and urban planning.
This major is not an accredited engineering degree and is not intended to lead directly to professional licensure in architecture or engineering. Students who wish to become licensed architects or engineers will need to pursue additional graduate education and complete the required practical experience.
The program prepares graduates to be strong candidates for advanced study, including graduate programs at leading universities and the coterminal program at Stanford.
Are you wondering whether a Sustainable Architecture+Engineering major is for you? If so, please check the SA+E major webpage for recommended courses accessible early in your undergraduate career that will help you explore your interest in our major.
If you end up joining our major, this early start on fulfilling requirements will pay off by giving you more flexibility in class scheduling for your junior and senior years.
Instructions for Declaring a Major in Sustainable Architecture + Engineering
General information on the subplan is outlined on the Sustainable Architecture + Engineering dedicated page. This page outlines the degree requirements.
Students must complete a minimum of 62 units required from Engineering Fundamentals, Core, Breadth Focus Options & Other Electives
A course may only be counted toward one elective or core requirement; it may not be double-counted.
All courses taken for the major must be taken for a letter grade if that option is offered by the instructor, and a grade of ‘C-‘ or better must be received.
The minimum combined GPA for all courses in Engineering Fundamentals, Core, Breadth Focus Options & Other Electives is 2.0.
Required Math and Science Courses:
- 1172271
- 1172291
- 1172301
- 2023541
OR 1172571 - 2016572
OR 1253961 - 1226171
OR 2208011
OR 1226431 - 1226191
OR 1226241
Students may also use AP credit to fulfill this requirement. Please consult with the School of Engineering and see the Stanford External Test Credit Equivalency Charts for additional information.
PHYSICS 41/41E is needed as a prerequisite for ENGR 14. If you want to take PHYSICS 21 instead, see SA+E major advisor before enrolling.
Complete additional courses from the following to reach the 32-unit minimum of Math/Science coursework.
- 1043151
OR 1172611 - 2155763
OR 1172891 - 2195782
- 1056641
- 1172591
- 1034551
Required Solid Mechanics course
- 1042551
Complete at least one course from the SoE pre-approved Engineering Fundamentals course list found at https://ughb.stanford.edu/courses/engineering-fundamentals.
- 2245901
- 1034491
- 2263521
- 1035061
- 2256791
- 2256801
- 2256811
132A, B, or C can be repeated to satisfy requirement.
- 2256651
OR 2260651 - 2256661
- 2256771
OR 2256781 - 2107431
- 2237551
- 2151271
Choose at least two courses each from two Focus areas, plus one additional course from a third Breadth Focus Area. Courses taken for Core Requirements cannot be counted toward a Focus area. Some courses offered in alternating years.
- 2256821
- 1034881
- 2182562
- 2083911
- 2091851
- 2278111
- 2164922
- 2276331
- 2265361
- 2206751
- 2126271
- 2150191
- 2162421
- 2066961
- 2208291
- 2265351
- 2265421
- 1034501
- 2256821
- 2101921
- 2101941
- 1035131
- 1035171
- 1036001
- 2207901
- 2048892
- 2186912
- 2265421
- 2140952
- 2184931
Students must take at least 62 units of Engineering Fundamentals, Core Requirements, Focus Options, and Other Electives to satisfy the degree program requirements and graduate.
To reach a total of 62 units, students may choose from the following elective options:
Additional electives may be selected from the Engineering Fundamentals and Focus areas above. Note that a course may only be counted towards one core, focus, or elective requirement; it may not be double counted.
Additional Elective courses (listed below)
Up to 4 units of non-engineering Elective courses (listed below)
Up to 4 units of CEE 199/199L (listed below)
Courses counted toward other requirements cannot also be counted as electives.
- 1034511
- 1034521
- 1034531
- 2151281
- 2155731
- 2261261
- 2280051
- 2177811
- 2196671
- 2206751
- 2206631
OR 1050941
The following additional non-engineering Elective courses may count up to 4 units:
- 1103731
- 1103791
- 1103911
- 2095251
- 2216091
- 2243471
- 1309261
- 1309711
- 1309841
Verify other related electives with your major advisor.
May count up to 4 units of the following:
- 1035261
- 2144251
Subject to the requirements outlined above, students have considerable leeway in choosing their breadth focus area options, depth electives, and other courses to best suit their background and interests. By careful selection of technically-oriented depth electives, students can complement their studio experience with courses in structural analysis, construction, cost estimating, and energy efficiency.
Students intending to apply to architecture graduate schools are encouraged to take:
studio art courses as early as possible in their academic career
more than the minimum number of required studio classes
graphics and presentation (CEE 31B) and the portfolio preparation class (CEE 139)
Students are also encouraged to take digital modeling courses which will equip them with the skillsets needed to pursue architectural and engineering internships.
The Sustainable Architecture+Engineering Honors program offers eligible students the opportunity to engage in guided original research, or project design, over the course of an academic year. For interested students, the process and requirements are:
The student must submit a letter applying for the Honors option endorsed by the student's major advisor and honors advisor and submitted to the student services office in CEE. Applications must be received in the fourth quarter prior to graduation. It is strongly suggested that students meet with their degree program advisor well in advance of submitting an application.
The student must maintain a GPA of at least 3.5.
The student must complete an honors thesis or project. The timing and deadlines are to be decided by the major or honors advisor. At least one member of the evaluation committee must be a member of the Academic Council in the School of Engineering.
The student must present the work in an appropriate forum, e.g., in the same session as honors theses are presented in the department of the advisor. All honors programs require some public presentation of the thesis or project.